oj.uz

Submission #804452

# Submission time Handle Problem Language Result Execution time Memory
804452 2023-08-03T08:47:46 Z vjudge1 Meetings 2 (JOI21_meetings2) C++17
20 / 100
 4000 ms 42436 KB 
#include<bits/stdc++.h>

using namespace std;
using ll = long long;

const int B = 2000;
const int N = 3e5 + 10;
const int INF = 1e9;
vector<int> g[N];

int n;
int sz[N];
int anc[N][20];
int tin[N], tout[N], T, depth[N];
void precalc(int s, int p) {
    sz[s] = 1;
    anc[s][0] = p;
    tin[s] = T++;
    for(int i = 1; i < 20; i++) 
        anc[s][i] = anc[anc[s][i - 1]][i - 1];
    for(int to : g[s]) {
        if(to == p) continue;
        depth[to] = depth[s] + 1;
        precalc(to, s);
        sz[s] += sz[to];
    }
    tout[s] = T++;
}
bool up(int u, int v) {
    return tin[u] <= tin[v] && tout[u] >= tout[v];
}
int lca(int u, int v) {
    if(up(u, v)) return u;
    if(up(v, u)) return v;
    for(int i = 19; i >= 0; i--) {
        if(!up(anc[u][i], v)) u = anc[u][i];
    }
    return anc[u][0];
}
int dist(int u, int v) {
    return depth[u] + depth[v] - 2 * depth[lca(u, v)];
}

int root;
vector<int> rs(N, 1);

int LIM;
int dfs(int s, int p, int k) {
    if(k > LIM) return 0;
    int f = -INF;
    if(sz[s] >= k) f = 0;
    int mx0 = -INF, mx1 = -INF;

    for(int to : g[s]) {
        if(to == p) continue;
        int x = dfs(to, s, k);
        if(x >= mx0) mx1 = mx0, mx0 = x;
        else if(x > mx1) mx1 = x;
        f = max(f, x + 1);
    }
    rs[2 * k] = max(rs[2 * k], mx0 + mx1 + 2 + (s != root));
    return f;
}

int func(int u, int v) {
    if(sz[u] < sz[v]) swap(u, v);
    return min(sz[v], n - sz[v]);
}
vector<int> ver[N];
int lb[N];

void DFS(int s, int p) {
    lb[s] = B + 1;
    for(int to : g[s]) {
        if(to == p) continue;
        DFS(to, s);
        lb[s] = max(lb[to], lb[s]);
    }
    while(lb[s] <= min(sz[s], LIM)) {
        ver[lb[s]++].push_back(s); 
    }
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);cout.tie(0);
    cin >> n;
    vector<pair<int, int>> edges;
    for(int i = 1; i < n; i++) {
        int a, b;
        cin >> a >> b;
        edges.push_back({a, b});
        g[a].push_back(b);
        g[b].push_back(a);
    }
    if(n == 1) {
        cout << 1;
        return 0;
    }

    precalc(1, 1);
    int x0 = edges[0].first, x1 = edges[0].second;
    for(auto [u, v] : edges) {
        if(func(x0, x1) < func(u, v)) {
            x0 = u;
            x1 = v;
        }
    }
    LIM = func(x0, x1);
    g[x0].erase(find(g[x0].begin(), g[x0].end(), x1));
    g[x1].erase(find(g[x1].begin(), g[x1].end(), x0));
    root = n + 1;
    g[root].push_back(x0);
    g[root].push_back(x1);
    precalc(root, root);

    for(int i = 1; i <= B; i++) 
        dfs(root, root, i);
    
    DFS(root, root);
    // cout << LIM << '\n';
    for(int i = B + 1; i <= LIM; i++) {
        if(ver[i].size() < 2) break;
        int x = ver[i][0], y = ver[i][1];
        for(int c : ver[i]) {
            if(depth[c] > depth[x]) x = c;
        }
        for(int c : ver[i]) {
            if(dist(c, x) > dist(y, x)) y = c; 
        }
        rs[2 * i] = dist(x, y);
        if(lca(x, y) != root) rs[2 * i]++;
    }
    for(int i = 1; i <= n; i++) 
        cout << rs[i] << '\n';
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 15516 KB Output is correct
2 Correct 8 ms 15604 KB Output is correct
3 Correct 9 ms 15568 KB Output is correct
4 Correct 8 ms 15572 KB Output is correct
5 Correct 8 ms 15556 KB Output is correct
6 Correct 8 ms 15564 KB Output is correct
7 Correct 9 ms 15632 KB Output is correct
8 Correct 7 ms 15612 KB Output is correct
9 Correct 8 ms 15552 KB Output is correct
10 Correct 8 ms 15560 KB Output is correct
11 Correct 9 ms 15556 KB Output is correct
12 Correct 9 ms 15572 KB Output is correct
13 Correct 8 ms 15612 KB Output is correct
14 Correct 8 ms 15584 KB Output is correct
15 Correct 8 ms 15572 KB Output is correct
16 Correct 8 ms 15572 KB Output is correct
17 Correct 8 ms 15572 KB Output is correct
18 Correct 8 ms 15572 KB Output is correct
19 Correct 8 ms 15596 KB Output is correct
20 Correct 8 ms 15572 KB Output is correct
21 Correct 7 ms 15616 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 15516 KB Output is correct
2 Correct 8 ms 15604 KB Output is correct
3 Correct 9 ms 15568 KB Output is correct
4 Correct 8 ms 15572 KB Output is correct
5 Correct 8 ms 15556 KB Output is correct
6 Correct 8 ms 15564 KB Output is correct
7 Correct 9 ms 15632 KB Output is correct
8 Correct 7 ms 15612 KB Output is correct
9 Correct 8 ms 15552 KB Output is correct
10 Correct 8 ms 15560 KB Output is correct
11 Correct 9 ms 15556 KB Output is correct
12 Correct 9 ms 15572 KB Output is correct
13 Correct 8 ms 15612 KB Output is correct
14 Correct 8 ms 15584 KB Output is correct
15 Correct 8 ms 15572 KB Output is correct
16 Correct 8 ms 15572 KB Output is correct
17 Correct 8 ms 15572 KB Output is correct
18 Correct 8 ms 15572 KB Output is correct
19 Correct 8 ms 15596 KB Output is correct
20 Correct 8 ms 15572 KB Output is correct
21 Correct 7 ms 15616 KB Output is correct
22 Correct 87 ms 16196 KB Output is correct
23 Correct 77 ms 16200 KB Output is correct
24 Correct 99 ms 16212 KB Output is correct
25 Correct 92 ms 16196 KB Output is correct
26 Correct 75 ms 16184 KB Output is correct
27 Correct 50 ms 16196 KB Output is correct
28 Correct 95 ms 16204 KB Output is correct
29 Correct 69 ms 16212 KB Output is correct
30 Correct 99 ms 16204 KB Output is correct
31 Correct 64 ms 16212 KB Output is correct
32 Correct 108 ms 16308 KB Output is correct
33 Correct 101 ms 16396 KB Output is correct
34 Correct 10 ms 16212 KB Output is correct
35 Correct 10 ms 16136 KB Output is correct
36 Correct 79 ms 16224 KB Output is correct
37 Correct 55 ms 16224 KB Output is correct
38 Correct 74 ms 16276 KB Output is correct

Subtask #3
0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 15516 KB Output is correct
2 Correct 8 ms 15604 KB Output is correct
3 Correct 9 ms 15568 KB Output is correct
4 Correct 8 ms 15572 KB Output is correct
5 Correct 8 ms 15556 KB Output is correct
6 Correct 8 ms 15564 KB Output is correct
7 Correct 9 ms 15632 KB Output is correct
8 Correct 7 ms 15612 KB Output is correct
9 Correct 8 ms 15552 KB Output is correct
10 Correct 8 ms 15560 KB Output is correct
11 Correct 9 ms 15556 KB Output is correct
12 Correct 9 ms 15572 KB Output is correct
13 Correct 8 ms 15612 KB Output is correct
14 Correct 8 ms 15584 KB Output is correct
15 Correct 8 ms 15572 KB Output is correct
16 Correct 8 ms 15572 KB Output is correct
17 Correct 8 ms 15572 KB Output is correct
18 Correct 8 ms 15572 KB Output is correct
19 Correct 8 ms 15596 KB Output is correct
20 Correct 8 ms 15572 KB Output is correct
21 Correct 7 ms 15616 KB Output is correct
22 Correct 87 ms 16196 KB Output is correct
23 Correct 77 ms 16200 KB Output is correct
24 Correct 99 ms 16212 KB Output is correct
25 Correct 92 ms 16196 KB Output is correct
26 Correct 75 ms 16184 KB Output is correct
27 Correct 50 ms 16196 KB Output is correct
28 Correct 95 ms 16204 KB Output is correct
29 Correct 69 ms 16212 KB Output is correct
30 Correct 99 ms 16204 KB Output is correct
31 Correct 64 ms 16212 KB Output is correct
32 Correct 108 ms 16308 KB Output is correct
33 Correct 101 ms 16396 KB Output is correct
34 Correct 10 ms 16212 KB Output is correct
35 Correct 10 ms 16136 KB Output is correct
36 Correct 79 ms 16224 KB Output is correct
37 Correct 55 ms 16224 KB Output is correct
38 Correct 74 ms 16276 KB Output is correct
39 Execution timed out 4038 ms 42436 KB Time limit exceeded
40 Halted 0 ms 0 KB -